A stability property for probability measures on Abelian groups

H. Carnal and G. M. Feldman

Statistics & Probability Letters, 2000, vol. 49, issue 1, 39-44

Abstract: On an arbitrary LCA group G, let a probability measure [mu]2 have the property that it is uniquely defined, up to a shift and a central symmetry, by the modulus of its characteristic function. Then, if [mu]1 is a probability measure on whose characteristic function is an entire function of finite order with real zeros, the property mentioned for [mu]2 remains valid for [mu]=[mu]1x[mu]2 on .

Keywords: Probability; on; LCA; groups; Fourier; transform; Entire; function (search for similar items in EconPapers)
Date: 2000
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